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Investigation of Transport Coefficients in Semimetals by the Variational Method I. General Solution of the Problem
Author(s) -
Gitsu D. V.,
Golban I. M.,
Kantser V. G.
Publication year - 1982
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221120215
Subject(s) - boltzmann equation , convergence (economics) , diagonal , tensor (intrinsic definition) , boltzmann constant , operator (biology) , mathematical analysis , phonon , function (biology) , eigenvalues and eigenvectors , physics , charge (physics) , scattering , mathematics , quantum mechanics , geometry , chemistry , biochemistry , repressor , evolutionary biology , biology , transcription factor , economics , gene , economic growth
A variational procedure for the solution of the Boltzmann equation with an arbitrary number of variational parameters is developed. In the frame of the method it is possible to carry out the optimization of trial function, as well as to check the convergence of the solution. It is shown that in semimetals the probability matrix of charge carrier scattering on acoustic phonons entering the expression for the collision operator has a non‐diagonal form in the coordinate system of the effective mass tensor. General expressions are obtained for the transport coefficients allowing to determine their numerical values.